Quiz about Trigonometry Review

Question 1

What is the exact value of $$\cot\left(\frac{5\pi}{3}\right)$$ ?

Accepted Answer

$$-\frac{\sqrt{3}}{3}$$

Answer

$$-\sqrt{3}$$

Answer

$$\sqrt{3}$$

Answer

$$\frac{\sqrt{3}}{3}$$

Question 2

What is the exact value of $$\cos(-900^{\circ})$$ ?

Accepted Answer

$$-1$$

Answer

$$-\frac{\sqrt{3}}{2}$$

Answer

0

Answer

$$\frac{1}{2}$$

Question 3

The value of $$\sin\left(\frac{11\pi}{3}\right)$$ is the same as the value of:

Accepted Answer

$$\cos\left(\frac{7\pi}{6}\right)$$

Answer

$$\sin\left(\frac{2\pi}{3}\right)$$

Answer

$$\sin\left(\frac{\pi}{3}\right)$$

Answer

$$\cos\left(\frac{11\pi}{6}\right)$$

Question 4

In which quadrant does the angle $$\frac{7\pi}{8}$$ terminate in?

Accepted Answer

Quadrant 2

Answer

Quadrant 1

Answer

Quadrant 3

Answer

Quadrant 4

Question 5

Given $$\cot heta=-\frac{1}{2}$$ and $$\cos heta<0$$ , find $$\sec heta$$

Accepted Answer

$$-\sqrt[]{5}$$

Answer

$$\frac{\sqrt[]{5}}{2}$$

Answer

$$-\frac{\sqrt[]{5}}{2}$$

Answer

$$\sqrt[]{5}$$

Question 6

What is the reference angle for an angle that measures $$\frac{7\pi}{6}$$ ?

Accepted Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{3}$$

Answer

$$\frac{\pi}{2}$$

Question 7

The terminal side of angle $$ heta$$ , in standard position, passes through the point (-7, -24). Find the exact value of $$\csc heta$$ and $$\sec heta$$ .

Accepted Answer

$$\csc heta=-\frac{25}{24}$$ and $$\sec heta=-\frac{25}{7}$$

Answer

$$\csc heta = \frac{25}{24}$$ and $$\sec heta = \frac{25}{7}$$

Answer

$$\csc heta = \frac{24}{25}$$ and $$\sec heta=\frac{7}{25}$$

Answer

$$\csc heta=\frac{25}{24}$$ and $$\sec heta=\frac{25}{7}$$

Question 8

Which of the following angles is not a possible reference angle?

Accepted Answer

$$\frac{5\pi}{6}$$

Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{3\pi}{8}$$

Answer

$$\frac{\pi}{3}$$

Question 9

$$\csc x-\frac{1}{\csc x}=?$$

Accepted Answer

$$\cos x\cot x$$

Answer

$$\cot x$$

Answer

$$\cot^2x\csc x$$

Answer

$$\csc x$$

Question 10

15.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 11

16.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 12

17.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

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